certain bacteria triples in amount everyday. If there are 100 bacteria presemt during day 1, what will be its total count in 10 days? Or what will be the number of bacteria present in 10 days. (This involves geometric series and geometric sequence)

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. 1. What would be…

A: Given A town has a population of 5000 persons, but is expected to grow by 2% every year. 1. What…

Q: The sum of an infinite geometric series is 108, while the sum of the first 3 terms is 112. Determine…

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Q: Find the sum, if it exists, of the infinite geometric series related to 64(1) . n-1 the infinite…

A: So option (b) is correct.using the formula  S=a/1-r

Q: 1 29. 5+1+-+..

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Q: A town has a population of 5000 persons,  but is expected to grow by 2% every   What would be the…

A: As per bartleby guidelines for more than one question asked only first is to be answered please…

Q: What is the difference between an infinite sequence and an infinite series?

A: Solution: Infinite Sequence: An infinite sequence of numbers is an ordered list of numbers with an…

Q: In a sequence of 12 numbers, each term, except for the first one, is 12^11 less than the previous…

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Q: , find the sum of the infinite geometric series.

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Q: Find the first five terms and the 14" term of a sequence with 2n +1 general term a, 2n-1

A: Given,         The first five terms and the 14th term of a sequence with the general          term ,…

Q: Clarify the differences between a sequence and a series?

A: Sequence is an array of numbers arranged according to a certain rule. For example,

Q: If the 8th term of an arithmetic series 39 and the 20th term is -33. What is the common difference?

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Q: What is the difference between a sequence and a series?

A: write the difference between sequence and series

Q: Find the infinite sum of the geometric sequence with a = 2, r = 3 if it exists. -

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Q: The sum of the first 20 terms of an arithmetic series is identical to the sum of the first 22 terms.…

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Q: The third term of the arithmetic sequence is 72 and the number of the third term with the fifth term…

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Q: What is  the differences between a sequence and a series?

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Q: Find the sum of the infinite geometric series. (If an answer is undefined, enter UNDEFINED.) 9(0.4)"…

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Q: The first term of a geometric sequence is 8, the second term is 24, & the 3rd term is 72.  What is…

A: The sum of first  n  terms of a geometric series can be calculated using the formula, Sn=a1-rn1-r.…

Q: find a formula for the nth term of the sequence. 0, 1, 1, 2, 2, 3, 3, 4,...

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Q: find a formula for the nth term of the sequence. √5 - √4, √6 - √5, √7 - √6, √8 - √7, . . .

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Q: *30. Formulate Substitute the formula for the nth term of an arithmetic sequence (105) into the…

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Q: find a formula for the nth term of the sequence. 1, 0, 1, 0, 1,...

A: Given the series:1, 0, 1, 0, 1…

Q: If the common difference of an Arithmetic series is 6 and the 4th term is 10, what is the value of…

A: Sol

Q: Find the sum for each infinite geometric series, if it exists. Explain why the sum exists, or does…

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Q: if the 8th term in an arithmatic series is 39 and the 20th term -33 what is the common difference

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Q: .Find the first four terms and the 100th term of the sequence whose nth term is given. an =2n−4

A: To find the first 4 terms we will plug n=1,2,3,4 respectively

Q: Find the first four terms and the eighth term of the sequence.{12 - 3n}

A: Find the first four terms and the eighth term of the sequence.{12 - 3n} Given, an=12-3n To find a1,…

Q: Find the sum of the infinite geometric series if it exists.256 + 192 + 144 + 108 + .....

A: Known fact: ∑n=0∞ arn=a1-r   if r<1.

Q: If the 100th term of an arithmetic sequence is 182, and its common difference is 2, then its first…

A: Given that the 100th term of an arithmetic sequence is 182 and its common difference is 2.

Q: (a) A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What…

A: i) Given: A town has a population of 5000 persons, but is expected to grow by 2% every year. Find…

Q: Make up an infinite series of nonzero terms whose sum is 1

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Q: If the first term of a geometric sequence is 0.9 and its ratio is 0.2, what is the sum of the first…

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Q: The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is…

A: We can find the 8th term of the GP as below

Q: Find the sum, if it exists, of the infinite geometric series related to the infinite geometric…

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Q: what would the sum be of the first 10 numbers in that series

A: Let's find sum of the series.

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would…

A:

Q: Find the sum of the infinite geometric series (if it has one): 11 36+24 +16+...

A: An infinite geometric series a,ar,ar^2,ar^3,........ has finite sum , if common ratio r<1 In…

Q: Find a formula for the nth term of the sequence 1, - 4, 9, – 16, 25, ..

A: We can find the nth term of the sequence. We notice pattern of the sequence.

Q: 10

A:

Q: Find the sum of the infinite geometric series. (If an answer is undefined, enter UNDEFINED 27 16 +…

A: Find the sum of series

Q: Each person has two parents, four grandparents, eight great-grandparents, and so on. What is the…

A: Hence,the number of ancestors preceding the person is 2046.

Q: Find the sum of the infinite geometric series if it exists.

A: To find: The sum of given infinite geometric series. Given information: The series is 1-12+14-18+⋯…

Q: Find the sum of the first 20 terms of the arithmetic series if a, = 5 and a,0 = 62 '20

A: The first term of the arithmetic series is a1=5 and 20th term of the series is a20=62. Evaluate d…

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would…

A: Solution: From the given information, the town has a population of 5000 persons. But it is expected…

Q: Find the first five terms of the infinite sequence whose nth term is given. an = 3n - 1 %3D

A:

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. What would be…

A: The sequence given in second part of the question doesn't seem to be correct. Repost the question…

Q: Find the 10 term of the geometric sequence whose common ratio is and whose first term is 6. 1/2

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Q: a. What would be the population size in 7 years. b. Fund the sum of the first eight terms of the…

A: Given; P0=5000 Rate=2%=0.02 the sum of the first eight terms of the sequence 18,-14,12,.... Formula…

Q: If the 100th term of an arithmetic sequence is 600, and its common difference is 6, then its first…

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